Probability Practice Test 2

Question : 37 of 37

Marks: +1, -0

The letters of the word ALLAHABAD are arranged at random. The probability that in the word so formed, all similar letters are found together, is

Solution:

Total ways of arranging letters of words ALLAHABAD

=9!/{4!2!}

Favourable ways = 4!.2!.5!

∴ P={4!2!5!4!2!}/9!=16/21

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